Find the form of all n in N satifying tow(n)=6. (sorry don't know how to write this Tex). What is the smallest positive integer n for which this is true? tow(n)=6 so 6=(1+a1)(1+a2)----(1+ak) where n=p1^a1p2^a2---pk^ak
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We have for k= So I just don't know about the next step...
I tried different values of n: Well 2^5 works (5+1)=6 3^1*7^2 (1+1)(2+1)=2*3=6 So n=p^5 or p1^2*p2? And 12 is the smallest n?
hint: since 6 has only one non-trival factorization 6=2*3, we obtain k=2, and a_1 = 1, a_2 = 2.
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